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Finding the Fourth Proportional to 107,697.60, 161,740.80 and 78,148.80

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Solution

The fourth proportional to 107,697.60, 161,740.80 and 78,148.80 is: 117,364.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,697.60 : 161,740.80 = 78,148.80 : x
  2. Step 2: Convert to fraction form
    107,697.60/161,740.80 = 78,148.80/x
  3. Step 3: Cross multiply
    107,697.60x = 161,740.80 × 78,148.80
  4. Step 4: Simplify right side
    107,697.60x = 12,639,849,431.04
  5. Step 5: Solve for x
    x = 12,639,849,431.04/107,697.60
  6. Step 6: Final answer
    x = 117,364.26

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1.5x scale

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.