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Finding the Fourth Proportional to 52,070, 78,128.80 and 28,342

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Solution

The fourth proportional to 52,070, 78,128.80 and 28,342 is: 42,525.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,070 : 78,128.80 = 28,342 : x
  2. Step 2: Convert to fraction form
    52,070/78,128.80 = 28,342/x
  3. Step 3: Cross multiply
    52,070x = 78,128.80 × 28,342
  4. Step 4: Simplify right side
    52,070x = 2,214,326,449.60
  5. Step 5: Solve for x
    x = 2,214,326,449.60/52,070
  6. Step 6: Final answer
    x = 42,525.95

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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.