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Finding the Fourth Proportional to 98,133.61, 147,101.98 and 45,580

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Solution

The fourth proportional to 98,133.61, 147,101.98 and 45,580 is: 68,324.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,133.61 : 147,101.98 = 45,580 : x
  2. Step 2: Convert to fraction form
    98,133.61/147,101.98 = 45,580/x
  3. Step 3: Cross multiply
    98,133.61x = 147,101.98 × 45,580
  4. Step 4: Simplify right side
    98,133.61x = 6,704,908,248.40
  5. Step 5: Solve for x
    x = 6,704,908,248.40/98,133.61
  6. Step 6: Final answer
    x = 68,324.28

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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.