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Finding the Fourth Proportional to 52,648, 78,985.68 and 15,712

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Solution

The fourth proportional to 52,648, 78,985.68 and 15,712 is: 23,572.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,648 : 78,985.68 = 15,712 : x
  2. Step 2: Convert to fraction form
    52,648/78,985.68 = 15,712/x
  3. Step 3: Cross multiply
    52,648x = 78,985.68 × 15,712
  4. Step 4: Simplify right side
    52,648x = 1,241,023,004.16
  5. Step 5: Solve for x
    x = 1,241,023,004.16/52,648
  6. Step 6: Final answer
    x = 23,572.08

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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.