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Finding the Fourth Proportional to 208,288.47, 287,437.65 and 112,794.87

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Solution

The fourth proportional to 208,288.47, 287,437.65 and 112,794.87 is: 155,656.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,288.47 : 287,437.65 = 112,794.87 : x
  2. Step 2: Convert to fraction form
    208,288.47/287,437.65 = 112,794.87/x
  3. Step 3: Cross multiply
    208,288.47x = 287,437.65 × 112,794.87
  4. Step 4: Simplify right side
    208,288.47x = 32,421,492,364.86
  5. Step 5: Solve for x
    x = 32,421,492,364.86/208,288.47
  6. Step 6: Final answer
    x = 155,656.68

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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.