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Finding the Fourth Proportional to 137,575.29, 206,341.65 and 56,530.53

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Solution

The fourth proportional to 137,575.29, 206,341.65 and 56,530.53 is: 84,787.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,575.29 : 206,341.65 = 56,530.53 : x
  2. Step 2: Convert to fraction form
    137,575.29/206,341.65 = 56,530.53/x
  3. Step 3: Cross multiply
    137,575.29x = 206,341.65 × 56,530.53
  4. Step 4: Simplify right side
    137,575.29x = 11,664,602,835.57
  5. Step 5: Solve for x
    x = 11,664,602,835.57/137,575.29
  6. Step 6: Final answer
    x = 84,787.05

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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.