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Finding the Fourth Proportional to 52,645, 78,981.18 and 15,709

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Solution

The fourth proportional to 52,645, 78,981.18 and 15,709 is: 23,567.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,645 : 78,981.18 = 15,709 : x
  2. Step 2: Convert to fraction form
    52,645/78,981.18 = 15,709/x
  3. Step 3: Cross multiply
    52,645x = 78,981.18 × 15,709
  4. Step 4: Simplify right side
    52,645x = 1,240,715,356.62
  5. Step 5: Solve for x
    x = 1,240,715,356.62/52,645
  6. Step 6: Final answer
    x = 23,567.58

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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.