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Finding the Fourth Proportional to 98,154.29, 147,200.24 and 31,578.93

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Solution

The fourth proportional to 98,154.29, 147,200.24 and 31,578.93 is: 47,358.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,154.29 : 147,200.24 = 31,578.93 : x
  2. Step 2: Convert to fraction form
    98,154.29/147,200.24 = 31,578.93/x
  3. Step 3: Cross multiply
    98,154.29x = 147,200.24 × 31,578.93
  4. Step 4: Simplify right side
    98,154.29x = 4,648,426,153.89
  5. Step 5: Solve for x
    x = 4,648,426,153.89/98,154.29
  6. Step 6: Final answer
    x = 47,358.36

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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.