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Finding the Fourth Proportional to 100,302.16, 138,411.84 and 57,858.16

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Solution

The fourth proportional to 100,302.16, 138,411.84 and 57,858.16 is: 79,841.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,302.16 : 138,411.84 = 57,858.16 : x
  2. Step 2: Convert to fraction form
    100,302.16/138,411.84 = 57,858.16/x
  3. Step 3: Cross multiply
    100,302.16x = 138,411.84 × 57,858.16
  4. Step 4: Simplify right side
    100,302.16x = 8,008,254,384.61
  5. Step 5: Solve for x
    x = 8,008,254,384.61/100,302.16
  6. Step 6: Final answer
    x = 79,841.30

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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.