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Finding the Fourth Proportional to 102,651.60, 141,657.71 and 57,329.12

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Solution

The fourth proportional to 102,651.60, 141,657.71 and 57,329.12 is: 79,113.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,651.60 : 141,657.71 = 57,329.12 : x
  2. Step 2: Convert to fraction form
    102,651.60/141,657.71 = 57,329.12/x
  3. Step 3: Cross multiply
    102,651.60x = 141,657.71 × 57,329.12
  4. Step 4: Simplify right side
    102,651.60x = 8,121,111,448.67
  5. Step 5: Solve for x
    x = 8,121,111,448.67/102,651.60
  6. Step 6: Final answer
    x = 79,113.34

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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.