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Finding the Fourth Proportional to 137,637.60, 206,456.40 and 97,779.53

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Solution

The fourth proportional to 137,637.60, 206,456.40 and 97,779.53 is: 146,669.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,637.60 : 206,456.40 = 97,779.53 : x
  2. Step 2: Convert to fraction form
    137,637.60/206,456.40 = 97,779.53/x
  3. Step 3: Cross multiply
    137,637.60x = 206,456.40 × 97,779.53
  4. Step 4: Simplify right side
    137,637.60x = 20,187,208,725.21
  5. Step 5: Solve for x
    x = 20,187,208,725.21/137,637.60
  6. Step 6: Final answer
    x = 146,669.29

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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.