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Finding the Fourth Proportional to 99,695,978.20, 149,543,967.30 and 45,948,266.20

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Solution

The fourth proportional to 99,695,978.20, 149,543,967.30 and 45,948,266.20 is: 68,922,399.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,695,978.20 : 149,543,967.30 = 45,948,266.20 : x
  2. Step 2: Convert to fraction form
    99,695,978.20/149,543,967.30 = 45,948,266.20/x
  3. Step 3: Cross multiply
    99,695,978.20x = 149,543,967.30 × 45,948,266.20
  4. Step 4: Simplify right side
    99,695,978.20x = 6,871,286,018,104,496
  5. Step 5: Solve for x
    x = 6,871,286,018,104,496/99,695,978.20
  6. Step 6: Final answer
    x = 68,922,399.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.