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Finding the Fourth Proportional to 98,214.80, 147,323.44 and 31,655.28

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Solution

The fourth proportional to 98,214.80, 147,323.44 and 31,655.28 is: 47,483.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,214.80 : 147,323.44 = 31,655.28 : x
  2. Step 2: Convert to fraction form
    98,214.80/147,323.44 = 31,655.28/x
  3. Step 3: Cross multiply
    98,214.80x = 147,323.44 × 31,655.28
  4. Step 4: Simplify right side
    98,214.80x = 4,663,564,743.76
  5. Step 5: Solve for x
    x = 4,663,564,743.76/98,214.80
  6. Step 6: Final answer
    x = 47,483.32

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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.