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Finding the Fourth Proportional to 160,730.28, 221,702.13 and 103,279.14

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Solution

The fourth proportional to 160,730.28, 221,702.13 and 103,279.14 is: 142,457.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,730.28 : 221,702.13 = 103,279.14 : x
  2. Step 2: Convert to fraction form
    160,730.28/221,702.13 = 103,279.14/x
  3. Step 3: Cross multiply
    160,730.28x = 221,702.13 × 103,279.14
  4. Step 4: Simplify right side
    160,730.28x = 22,897,205,322.57
  5. Step 5: Solve for x
    x = 22,897,205,322.57/160,730.28
  6. Step 6: Final answer
    x = 142,457.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.