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Finding the Fourth Proportional to 207,842.40, 286,821.60 and 112,349.28

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Solution

The fourth proportional to 207,842.40, 286,821.60 and 112,349.28 is: 155,041.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,842.40 : 286,821.60 = 112,349.28 : x
  2. Step 2: Convert to fraction form
    207,842.40/286,821.60 = 112,349.28/x
  3. Step 3: Cross multiply
    207,842.40x = 286,821.60 × 112,349.28
  4. Step 4: Simplify right side
    207,842.40x = 32,224,200,248.45
  5. Step 5: Solve for x
    x = 32,224,200,248.45/207,842.40
  6. Step 6: Final answer
    x = 155,041.51

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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.