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Finding the Fourth Proportional to 102,417.42, 153,625.95 and 28,545.42

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Solution

The fourth proportional to 102,417.42, 153,625.95 and 28,545.42 is: 42,818.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,417.42 : 153,625.95 = 28,545.42 : x
  2. Step 2: Convert to fraction form
    102,417.42/153,625.95 = 28,545.42/x
  3. Step 3: Cross multiply
    102,417.42x = 153,625.95 × 28,545.42
  4. Step 4: Simplify right side
    102,417.42x = 4,385,317,265.65
  5. Step 5: Solve for x
    x = 4,385,317,265.65/102,417.42
  6. Step 6: Final answer
    x = 42,818.08

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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.