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Finding the Fourth Proportional to 42,213, 63,319.56 and 14,511

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Solution

The fourth proportional to 42,213, 63,319.56 and 14,511 is: 21,766.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,213 : 63,319.56 = 14,511 : x
  2. Step 2: Convert to fraction form
    42,213/63,319.56 = 14,511/x
  3. Step 3: Cross multiply
    42,213x = 63,319.56 × 14,511
  4. Step 4: Simplify right side
    42,213x = 918,830,135.16
  5. Step 5: Solve for x
    x = 918,830,135.16/42,213
  6. Step 6: Final answer
    x = 21,766.52

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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.