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Finding the Fourth Proportional to 47,151, 70,726.50 and 14,319

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Solution

The fourth proportional to 47,151, 70,726.50 and 14,319 is: 21,478.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,151 : 70,726.50 = 14,319 : x
  2. Step 2: Convert to fraction form
    47,151/70,726.50 = 14,319/x
  3. Step 3: Cross multiply
    47,151x = 70,726.50 × 14,319
  4. Step 4: Simplify right side
    47,151x = 1,012,732,753.50
  5. Step 5: Solve for x
    x = 1,012,732,753.50/47,151
  6. Step 6: Final answer
    x = 21,478.50

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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.