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Finding the Fourth Proportional to 128,232, 176,960.16 and 71,648.64

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Solution

The fourth proportional to 128,232, 176,960.16 and 71,648.64 is: 98,875.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,232 : 176,960.16 = 71,648.64 : x
  2. Step 2: Convert to fraction form
    128,232/176,960.16 = 71,648.64/x
  3. Step 3: Cross multiply
    128,232x = 176,960.16 × 71,648.64
  4. Step 4: Simplify right side
    128,232x = 12,678,954,798.18
  5. Step 5: Solve for x
    x = 12,678,954,798.18/128,232
  6. Step 6: Final answer
    x = 98,875.12

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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.