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Finding the Fourth Proportional to 97,978.60, 147,028.38 and 45,378.28

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Solution

The fourth proportional to 97,978.60, 147,028.38 and 45,378.28 is: 68,095.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,978.60 : 147,028.38 = 45,378.28 : x
  2. Step 2: Convert to fraction form
    97,978.60/147,028.38 = 45,378.28/x
  3. Step 3: Cross multiply
    97,978.60x = 147,028.38 × 45,378.28
  4. Step 4: Simplify right side
    97,978.60x = 6,671,894,995.59
  5. Step 5: Solve for x
    x = 6,671,894,995.59/97,978.60
  6. Step 6: Final answer
    x = 68,095.43

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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.