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Finding the Fourth Proportional to 128,071.84, 176,731.95 and 71,486.86

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Solution

The fourth proportional to 128,071.84, 176,731.95 and 71,486.86 is: 98,647.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,071.84 : 176,731.95 = 71,486.86 : x
  2. Step 2: Convert to fraction form
    128,071.84/176,731.95 = 71,486.86/x
  3. Step 3: Cross multiply
    128,071.84x = 176,731.95 × 71,486.86
  4. Step 4: Simplify right side
    128,071.84x = 12,634,012,167.18
  5. Step 5: Solve for x
    x = 12,634,012,167.18/128,071.84
  6. Step 6: Final answer
    x = 98,647.85

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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.