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Finding the Fourth Proportional to 100,364.94, 138,498.93 and 57,937.14

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Solution

The fourth proportional to 100,364.94, 138,498.93 and 57,937.14 is: 79,950.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,364.94 : 138,498.93 = 57,937.14 : x
  2. Step 2: Convert to fraction form
    100,364.94/138,498.93 = 57,937.14/x
  3. Step 3: Cross multiply
    100,364.94x = 138,498.93 × 57,937.14
  4. Step 4: Simplify right side
    100,364.94x = 8,024,231,897.26
  5. Step 5: Solve for x
    x = 8,024,231,897.26/100,364.94
  6. Step 6: Final answer
    x = 79,950.55

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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.