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Finding the Fourth Proportional to 208,694.48, 287,547.72 and 141,509.84

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Solution

The fourth proportional to 208,694.48, 287,547.72 and 141,509.84 is: 194,978.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,694.48 : 287,547.72 = 141,509.84 : x
  2. Step 2: Convert to fraction form
    208,694.48/287,547.72 = 141,509.84/x
  3. Step 3: Cross multiply
    208,694.48x = 287,547.72 × 141,509.84
  4. Step 4: Simplify right side
    208,694.48x = 40,690,831,849.56
  5. Step 5: Solve for x
    x = 40,690,831,849.56/208,694.48
  6. Step 6: Final answer
    x = 194,978.00

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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.