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Finding the Fourth Proportional to 208,496.16, 312,612.48 and 101,666.88

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Solution

The fourth proportional to 208,496.16, 312,612.48 and 101,666.88 is: 152,436.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,496.16 : 312,612.48 = 101,666.88 : x
  2. Step 2: Convert to fraction form
    208,496.16/312,612.48 = 101,666.88/x
  3. Step 3: Cross multiply
    208,496.16x = 312,612.48 × 101,666.88
  4. Step 4: Simplify right side
    208,496.16x = 31,782,335,490.66
  5. Step 5: Solve for x
    x = 31,782,335,490.66/208,496.16
  6. Step 6: Final answer
    x = 152,436.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.