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Finding the Fourth Proportional to 162,430.76, 224,145.24 and 89,829.40

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Solution

The fourth proportional to 162,430.76, 224,145.24 and 89,829.40 is: 123,959.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,430.76 : 224,145.24 = 89,829.40 : x
  2. Step 2: Convert to fraction form
    162,430.76/224,145.24 = 89,829.40/x
  3. Step 3: Cross multiply
    162,430.76x = 224,145.24 × 89,829.40
  4. Step 4: Simplify right side
    162,430.76x = 20,134,832,422.06
  5. Step 5: Solve for x
    x = 20,134,832,422.06/162,430.76
  6. Step 6: Final answer
    x = 123,959.48

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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.