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Finding the Fourth Proportional to 153,329, 229,993.50 and 42,521

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Solution

The fourth proportional to 153,329, 229,993.50 and 42,521 is: 63,781.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,329 : 229,993.50 = 42,521 : x
  2. Step 2: Convert to fraction form
    153,329/229,993.50 = 42,521/x
  3. Step 3: Cross multiply
    153,329x = 229,993.50 × 42,521
  4. Step 4: Simplify right side
    153,329x = 9,779,553,613.50
  5. Step 5: Solve for x
    x = 9,779,553,613.50/153,329
  6. Step 6: Final answer
    x = 63,781.50

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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.