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Finding the Fourth Proportional to 208,357.65, 287,532.54 and 112,864.50

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Solution

The fourth proportional to 208,357.65, 287,532.54 and 112,864.50 is: 155,752.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,357.65 : 287,532.54 = 112,864.50 : x
  2. Step 2: Convert to fraction form
    208,357.65/287,532.54 = 112,864.50/x
  3. Step 3: Cross multiply
    208,357.65x = 287,532.54 × 112,864.50
  4. Step 4: Simplify right side
    208,357.65x = 32,452,216,360.83
  5. Step 5: Solve for x
    x = 32,452,216,360.83/208,357.65
  6. Step 6: Final answer
    x = 155,752.46

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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.