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Finding the Fourth Proportional to 98,490.84, 147,759.66 and 31,931.02

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Solution

The fourth proportional to 98,490.84, 147,759.66 and 31,931.02 is: 47,904.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,490.84 : 147,759.66 = 31,931.02 : x
  2. Step 2: Convert to fraction form
    98,490.84/147,759.66 = 31,931.02/x
  3. Step 3: Cross multiply
    98,490.84x = 147,759.66 × 31,931.02
  4. Step 4: Simplify right side
    98,490.84x = 4,718,116,658.65
  5. Step 5: Solve for x
    x = 4,718,116,658.65/98,490.84
  6. Step 6: Final answer
    x = 47,904.12

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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.