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Finding the Fourth Proportional to 128,117.25, 176,803.12 and 70,758

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Solution

The fourth proportional to 128,117.25, 176,803.12 and 70,758 is: 97,646.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,117.25 : 176,803.12 = 70,758 : x
  2. Step 2: Convert to fraction form
    128,117.25/176,803.12 = 70,758/x
  3. Step 3: Cross multiply
    128,117.25x = 176,803.12 × 70,758
  4. Step 4: Simplify right side
    128,117.25x = 12,510,235,164.96
  5. Step 5: Solve for x
    x = 12,510,235,164.96/128,117.25
  6. Step 6: Final answer
    x = 97,646.77

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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.