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Finding the Fourth Proportional to 78,242.16, 117,382.80 and 31,498.80

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Solution

The fourth proportional to 78,242.16, 117,382.80 and 31,498.80 is: 47,256.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,242.16 : 117,382.80 = 31,498.80 : x
  2. Step 2: Convert to fraction form
    78,242.16/117,382.80 = 31,498.80/x
  3. Step 3: Cross multiply
    78,242.16x = 117,382.80 × 31,498.80
  4. Step 4: Simplify right side
    78,242.16x = 3,697,417,340.64
  5. Step 5: Solve for x
    x = 3,697,417,340.64/78,242.16
  6. Step 6: Final answer
    x = 47,256.07

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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.