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Finding the Fourth Proportional to 137,656.71, 206,152.74 and 78,312.47

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Solution

The fourth proportional to 137,656.71, 206,152.74 and 78,312.47 is: 117,279.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,656.71 : 206,152.74 = 78,312.47 : x
  2. Step 2: Convert to fraction form
    137,656.71/206,152.74 = 78,312.47/x
  3. Step 3: Cross multiply
    137,656.71x = 206,152.74 × 78,312.47
  4. Step 4: Simplify right side
    137,656.71x = 16,144,329,235.90
  5. Step 5: Solve for x
    x = 16,144,329,235.90/137,656.71
  6. Step 6: Final answer
    x = 117,279.64

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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.