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Finding the Fourth Proportional to 102,192, 153,296.64 and 28,320

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Solution

The fourth proportional to 102,192, 153,296.64 and 28,320 is: 42,482.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,192 : 153,296.64 = 28,320 : x
  2. Step 2: Convert to fraction form
    102,192/153,296.64 = 28,320/x
  3. Step 3: Cross multiply
    102,192x = 153,296.64 × 28,320
  4. Step 4: Simplify right side
    102,192x = 4,341,360,844.80
  5. Step 5: Solve for x
    x = 4,341,360,844.80/102,192
  6. Step 6: Final answer
    x = 42,482.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.