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Finding the Fourth Proportional to 153,457.47, 211,713.98 and 153,220.95

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Solution

The fourth proportional to 153,457.47, 211,713.98 and 153,220.95 is: 211,387.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,457.47 : 211,713.98 = 153,220.95 : x
  2. Step 2: Convert to fraction form
    153,457.47/211,713.98 = 153,220.95/x
  3. Step 3: Cross multiply
    153,457.47x = 211,713.98 × 153,220.95
  4. Step 4: Simplify right side
    153,457.47x = 32,439,016,377.78
  5. Step 5: Solve for x
    x = 32,439,016,377.78/153,457.47
  6. Step 6: Final answer
    x = 211,387.67

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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.