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Finding the Fourth Proportional to 102,057.35, 153,111.90 and 72,130.47

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Solution

The fourth proportional to 102,057.35, 153,111.90 and 72,130.47 is: 108,213.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,057.35 : 153,111.90 = 72,130.47 : x
  2. Step 2: Convert to fraction form
    102,057.35/153,111.90 = 72,130.47/x
  3. Step 3: Cross multiply
    102,057.35x = 153,111.90 × 72,130.47
  4. Step 4: Simplify right side
    102,057.35x = 11,044,033,005.91
  5. Step 5: Solve for x
    x = 11,044,033,005.91/102,057.35
  6. Step 6: Final answer
    x = 108,213.99

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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.