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Finding the Fourth Proportional to 98,145.59, 147,187.40 and 31,570.88

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Solution

The fourth proportional to 98,145.59, 147,187.40 and 31,570.88 is: 47,346.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,145.59 : 147,187.40 = 31,570.88 : x
  2. Step 2: Convert to fraction form
    98,145.59/147,187.40 = 31,570.88/x
  3. Step 3: Cross multiply
    98,145.59x = 147,187.40 × 31,570.88
  4. Step 4: Simplify right side
    98,145.59x = 4,646,834,849.12
  5. Step 5: Solve for x
    x = 4,646,834,849.12/98,145.59
  6. Step 6: Final answer
    x = 47,346.35

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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.