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Finding the Fourth Proportional to 100,041.60, 138,069.32 and 57,608.40

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Solution

The fourth proportional to 100,041.60, 138,069.32 and 57,608.40 is: 79,506.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,041.60 : 138,069.32 = 57,608.40 : x
  2. Step 2: Convert to fraction form
    100,041.60/138,069.32 = 57,608.40/x
  3. Step 3: Cross multiply
    100,041.60x = 138,069.32 × 57,608.40
  4. Step 4: Simplify right side
    100,041.60x = 7,953,952,326.25
  5. Step 5: Solve for x
    x = 7,953,952,326.25/100,041.60
  6. Step 6: Final answer
    x = 79,506.45

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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.