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Finding the Fourth Proportional to 208,134.12, 287,224.98 and 112,640.76

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Solution

The fourth proportional to 208,134.12, 287,224.98 and 112,640.76 is: 155,444.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,134.12 : 287,224.98 = 112,640.76 : x
  2. Step 2: Convert to fraction form
    208,134.12/287,224.98 = 112,640.76/x
  3. Step 3: Cross multiply
    208,134.12x = 287,224.98 × 112,640.76
  4. Step 4: Simplify right side
    208,134.12x = 32,353,240,038.18
  5. Step 5: Solve for x
    x = 32,353,240,038.18/208,134.12
  6. Step 6: Final answer
    x = 155,444.19

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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.