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Finding the Fourth Proportional to 137,909.59, 190,310.79 and 76,655.47

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Solution

The fourth proportional to 137,909.59, 190,310.79 and 76,655.47 is: 105,782.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,909.59 : 190,310.79 = 76,655.47 : x
  2. Step 2: Convert to fraction form
    137,909.59/190,310.79 = 76,655.47/x
  3. Step 3: Cross multiply
    137,909.59x = 190,310.79 × 76,655.47
  4. Step 4: Simplify right side
    137,909.59x = 14,588,363,053.52
  5. Step 5: Solve for x
    x = 14,588,363,053.52/137,909.59
  6. Step 6: Final answer
    x = 105,782.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.