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Finding the Fourth Proportional to 102,585, 153,897.45 and 39,400.50

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Solution

The fourth proportional to 102,585, 153,897.45 and 39,400.50 is: 59,108.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,585 : 153,897.45 = 39,400.50 : x
  2. Step 2: Convert to fraction form
    102,585/153,897.45 = 39,400.50/x
  3. Step 3: Cross multiply
    102,585x = 153,897.45 × 39,400.50
  4. Step 4: Simplify right side
    102,585x = 6,063,636,478.73
  5. Step 5: Solve for x
    x = 6,063,636,478.73/102,585
  6. Step 6: Final answer
    x = 59,108.41

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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.