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Finding the Fourth Proportional to 102,283.20, 153,423.36 and 28,411.20

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Solution

The fourth proportional to 102,283.20, 153,423.36 and 28,411.20 is: 42,616.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,283.20 : 153,423.36 = 28,411.20 : x
  2. Step 2: Convert to fraction form
    102,283.20/153,423.36 = 28,411.20/x
  3. Step 3: Cross multiply
    102,283.20x = 153,423.36 × 28,411.20
  4. Step 4: Simplify right side
    102,283.20x = 4,358,941,765.63
  5. Step 5: Solve for x
    x = 4,358,941,765.63/102,283.20
  6. Step 6: Final answer
    x = 42,616.40

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1.5x scale

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.