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Finding the Fourth Proportional to 98,503.60, 135,842.70 and 78,426.76

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Solution

The fourth proportional to 98,503.60, 135,842.70 and 78,426.76 is: 108,155.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,503.60 : 135,842.70 = 78,426.76 : x
  2. Step 2: Convert to fraction form
    98,503.60/135,842.70 = 78,426.76/x
  3. Step 3: Cross multiply
    98,503.60x = 135,842.70 × 78,426.76
  4. Step 4: Simplify right side
    98,503.60x = 10,653,702,830.65
  5. Step 5: Solve for x
    x = 10,653,702,830.65/98,503.60
  6. Step 6: Final answer
    x = 108,155.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.