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Finding the Fourth Proportional to 208,296.47, 287,448.69 and 112,802.87

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Solution

The fourth proportional to 208,296.47, 287,448.69 and 112,802.87 is: 155,667.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,296.47 : 287,448.69 = 112,802.87 : x
  2. Step 2: Convert to fraction form
    208,296.47/287,448.69 = 112,802.87/x
  3. Step 3: Cross multiply
    208,296.47x = 287,448.69 × 112,802.87
  4. Step 4: Simplify right side
    208,296.47x = 32,425,037,209.74
  5. Step 5: Solve for x
    x = 32,425,037,209.74/208,296.47
  6. Step 6: Final answer
    x = 155,667.72

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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.