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Finding the Fourth Proportional to 128,000, 176,640 and 71,411.36

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Solution

The fourth proportional to 128,000, 176,640 and 71,411.36 is: 98,547.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,000 : 176,640 = 71,411.36 : x
  2. Step 2: Convert to fraction form
    128,000/176,640 = 71,411.36/x
  3. Step 3: Cross multiply
    128,000x = 176,640 × 71,411.36
  4. Step 4: Simplify right side
    128,000x = 12,614,102,630.40
  5. Step 5: Solve for x
    x = 12,614,102,630.40/128,000
  6. Step 6: Final answer
    x = 98,547.68

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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.