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Finding the Fourth Proportional to 103,676,403, 155,539,798.74 and 31,872,819

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Solution

The fourth proportional to 103,676,403, 155,539,798.74 and 31,872,819 is: 47,816,973.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,676,403 : 155,539,798.74 = 31,872,819 : x
  2. Step 2: Convert to fraction form
    103,676,403/155,539,798.74 = 31,872,819/x
  3. Step 3: Cross multiply
    103,676,403x = 155,539,798.74 × 31,872,819
  4. Step 4: Simplify right side
    103,676,403x = 4,957,491,852,536,448
  5. Step 5: Solve for x
    x = 4,957,491,852,536,448/103,676,403
  6. Step 6: Final answer
    x = 47,816,973.86

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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.