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Finding the Fourth Proportional to 208,143, 287,236.80 and 112,649.67

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Solution

The fourth proportional to 208,143, 287,236.80 and 112,649.67 is: 155,456.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,143 : 287,236.80 = 112,649.67 : x
  2. Step 2: Convert to fraction form
    208,143/287,236.80 = 112,649.67/x
  3. Step 3: Cross multiply
    208,143x = 287,236.80 × 112,649.67
  4. Step 4: Simplify right side
    208,143x = 32,357,130,731.86
  5. Step 5: Solve for x
    x = 32,357,130,731.86/208,143
  6. Step 6: Final answer
    x = 155,456.25

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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.