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Finding the Fourth Proportional to 208,085.76, 287,156.28 and 112,590.36

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Solution

The fourth proportional to 208,085.76, 287,156.28 and 112,590.36 is: 155,373.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,085.76 : 287,156.28 = 112,590.36 : x
  2. Step 2: Convert to fraction form
    208,085.76/287,156.28 = 112,590.36/x
  3. Step 3: Cross multiply
    208,085.76x = 287,156.28 × 112,590.36
  4. Step 4: Simplify right side
    208,085.76x = 32,331,028,941.46
  5. Step 5: Solve for x
    x = 32,331,028,941.46/208,085.76
  6. Step 6: Final answer
    x = 155,373.58

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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.