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Finding the Fourth Proportional to 208,478.96, 287,700.24 and 112,988

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Solution

The fourth proportional to 208,478.96, 287,700.24 and 112,988 is: 155,923.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,478.96 : 287,700.24 = 112,988 : x
  2. Step 2: Convert to fraction form
    208,478.96/287,700.24 = 112,988/x
  3. Step 3: Cross multiply
    208,478.96x = 287,700.24 × 112,988
  4. Step 4: Simplify right side
    208,478.96x = 32,506,674,717.12
  5. Step 5: Solve for x
    x = 32,506,674,717.12/208,478.96
  6. Step 6: Final answer
    x = 155,923.05

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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.