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Finding the Fourth Proportional to 58,712, 88,080.96 and 21,776

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Solution

The fourth proportional to 58,712, 88,080.96 and 21,776 is: 32,668.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,712 : 88,080.96 = 21,776 : x
  2. Step 2: Convert to fraction form
    58,712/88,080.96 = 21,776/x
  3. Step 3: Cross multiply
    58,712x = 88,080.96 × 21,776
  4. Step 4: Simplify right side
    58,712x = 1,918,050,984.96
  5. Step 5: Solve for x
    x = 1,918,050,984.96/58,712
  6. Step 6: Final answer
    x = 32,668.81

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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.