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Finding the Fourth Proportional to 78,210.28, 117,291.30 and 28,284.40

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Solution

The fourth proportional to 78,210.28, 117,291.30 and 28,284.40 is: 42,417.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,210.28 : 117,291.30 = 28,284.40 : x
  2. Step 2: Convert to fraction form
    78,210.28/117,291.30 = 28,284.40/x
  3. Step 3: Cross multiply
    78,210.28x = 117,291.30 × 28,284.40
  4. Step 4: Simplify right side
    78,210.28x = 3,317,514,045.72
  5. Step 5: Solve for x
    x = 3,317,514,045.72/78,210.28
  6. Step 6: Final answer
    x = 42,417.88

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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.