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Finding the Fourth Proportional to 101,646.24, 140,341.80 and 77,731.24

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Solution

The fourth proportional to 101,646.24, 140,341.80 and 77,731.24 is: 107,322.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,646.24 : 140,341.80 = 77,731.24 : x
  2. Step 2: Convert to fraction form
    101,646.24/140,341.80 = 77,731.24/x
  3. Step 3: Cross multiply
    101,646.24x = 140,341.80 × 77,731.24
  4. Step 4: Simplify right side
    101,646.24x = 10,908,942,137.83
  5. Step 5: Solve for x
    x = 10,908,942,137.83/101,646.24
  6. Step 6: Final answer
    x = 107,322.63

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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.