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Finding the Fourth Proportional to 137,870.48, 206,646.96 and 78,748.58

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Solution

The fourth proportional to 137,870.48, 206,646.96 and 78,748.58 is: 118,032.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,870.48 : 206,646.96 = 78,748.58 : x
  2. Step 2: Convert to fraction form
    137,870.48/206,646.96 = 78,748.58/x
  3. Step 3: Cross multiply
    137,870.48x = 206,646.96 × 78,748.58
  4. Step 4: Simplify right side
    137,870.48x = 16,273,154,661.32
  5. Step 5: Solve for x
    x = 16,273,154,661.32/137,870.48
  6. Step 6: Final answer
    x = 118,032.19

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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.