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Finding the Fourth Proportional to 98,145.80, 147,218.75 and 31,585.93

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Solution

The fourth proportional to 98,145.80, 147,218.75 and 31,585.93 is: 47,378.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,145.80 : 147,218.75 = 31,585.93 : x
  2. Step 2: Convert to fraction form
    98,145.80/147,218.75 = 31,585.93/x
  3. Step 3: Cross multiply
    98,145.80x = 147,218.75 × 31,585.93
  4. Step 4: Simplify right side
    98,145.80x = 4,650,041,132.19
  5. Step 5: Solve for x
    x = 4,650,041,132.19/98,145.80
  6. Step 6: Final answer
    x = 47,378.91

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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.