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Finding the Fourth Proportional to 98,150.84, 147,244.88 and 31,586.12

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Solution

The fourth proportional to 98,150.84, 147,244.88 and 31,586.12 is: 47,385.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,150.84 : 147,244.88 = 31,586.12 : x
  2. Step 2: Convert to fraction form
    98,150.84/147,244.88 = 31,586.12/x
  3. Step 3: Cross multiply
    98,150.84x = 147,244.88 × 31,586.12
  4. Step 4: Simplify right side
    98,150.84x = 4,650,894,449.07
  5. Step 5: Solve for x
    x = 4,650,894,449.07/98,150.84
  6. Step 6: Final answer
    x = 47,385.17

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1.5x scale

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.