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Finding the Fourth Proportional to 102,180.64, 153,271.02 and 28,308.64

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Solution

The fourth proportional to 102,180.64, 153,271.02 and 28,308.64 is: 42,462.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,180.64 : 153,271.02 = 28,308.64 : x
  2. Step 2: Convert to fraction form
    102,180.64/153,271.02 = 28,308.64/x
  3. Step 3: Cross multiply
    102,180.64x = 153,271.02 × 28,308.64
  4. Step 4: Simplify right side
    102,180.64x = 4,338,894,127.61
  5. Step 5: Solve for x
    x = 4,338,894,127.61/102,180.64
  6. Step 6: Final answer
    x = 42,462.98

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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.