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Finding the Fourth Proportional to 78,357.90, 108,133.56 and 42,547.62

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Solution

The fourth proportional to 78,357.90, 108,133.56 and 42,547.62 is: 58,715.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,357.90 : 108,133.56 = 42,547.62 : x
  2. Step 2: Convert to fraction form
    78,357.90/108,133.56 = 42,547.62/x
  3. Step 3: Cross multiply
    78,357.90x = 108,133.56 × 42,547.62
  4. Step 4: Simplify right side
    78,357.90x = 4,600,825,620.13
  5. Step 5: Solve for x
    x = 4,600,825,620.13/78,357.90
  6. Step 6: Final answer
    x = 58,715.53

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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.