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Finding the Fourth Proportional to 153,901.80, 230,877 and 65,155.86

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Solution

The fourth proportional to 153,901.80, 230,877 and 65,155.86 is: 97,744.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,901.80 : 230,877 = 65,155.86 : x
  2. Step 2: Convert to fraction form
    153,901.80/230,877 = 65,155.86/x
  3. Step 3: Cross multiply
    153,901.80x = 230,877 × 65,155.86
  4. Step 4: Simplify right side
    153,901.80x = 15,042,989,489.22
  5. Step 5: Solve for x
    x = 15,042,989,489.22/153,901.80
  6. Step 6: Final answer
    x = 97,744.08

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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.