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Finding the Fourth Proportional to 98,390, 147,599.40 and 31,808

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Solution

The fourth proportional to 98,390, 147,599.40 and 31,808 is: 47,716.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,390 : 147,599.40 = 31,808 : x
  2. Step 2: Convert to fraction form
    98,390/147,599.40 = 31,808/x
  3. Step 3: Cross multiply
    98,390x = 147,599.40 × 31,808
  4. Step 4: Simplify right side
    98,390x = 4,694,841,715.20
  5. Step 5: Solve for x
    x = 4,694,841,715.20/98,390
  6. Step 6: Final answer
    x = 47,716.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.