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Finding the Fourth Proportional to 128,250, 176,985 and 71,666.64

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Solution

The fourth proportional to 128,250, 176,985 and 71,666.64 is: 98,899.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,250 : 176,985 = 71,666.64 : x
  2. Step 2: Convert to fraction form
    128,250/176,985 = 71,666.64/x
  3. Step 3: Cross multiply
    128,250x = 176,985 × 71,666.64
  4. Step 4: Simplify right side
    128,250x = 12,683,920,280.40
  5. Step 5: Solve for x
    x = 12,683,920,280.40/128,250
  6. Step 6: Final answer
    x = 98,899.96

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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.