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Finding the Fourth Proportional to 78,218.40, 117,258.02 and 28,287.40

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Solution

The fourth proportional to 78,218.40, 117,258.02 and 28,287.40 is: 42,405.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,218.40 : 117,258.02 = 28,287.40 : x
  2. Step 2: Convert to fraction form
    78,218.40/117,258.02 = 28,287.40/x
  3. Step 3: Cross multiply
    78,218.40x = 117,258.02 × 28,287.40
  4. Step 4: Simplify right side
    78,218.40x = 3,316,924,485.86
  5. Step 5: Solve for x
    x = 3,316,924,485.86/78,218.40
  6. Step 6: Final answer
    x = 42,405.93

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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.