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Finding the Fourth Proportional to 208,109.84, 287,189.36 and 112,614.40

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Solution

The fourth proportional to 208,109.84, 287,189.36 and 112,614.40 is: 155,406.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,109.84 : 287,189.36 = 112,614.40 : x
  2. Step 2: Convert to fraction form
    208,109.84/287,189.36 = 112,614.40/x
  3. Step 3: Cross multiply
    208,109.84x = 287,189.36 × 112,614.40
  4. Step 4: Simplify right side
    208,109.84x = 32,341,657,462.78
  5. Step 5: Solve for x
    x = 32,341,657,462.78/208,109.84
  6. Step 6: Final answer
    x = 155,406.67

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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.