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Finding the Fourth Proportional to 208,607.94, 288,036.81 and 128,145.78

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Solution

The fourth proportional to 208,607.94, 288,036.81 and 128,145.78 is: 176,938.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,607.94 : 288,036.81 = 128,145.78 : x
  2. Step 2: Convert to fraction form
    208,607.94/288,036.81 = 128,145.78/x
  3. Step 3: Cross multiply
    208,607.94x = 288,036.81 × 128,145.78
  4. Step 4: Simplify right side
    208,607.94x = 36,910,701,686.16
  5. Step 5: Solve for x
    x = 36,910,701,686.16/208,607.94
  6. Step 6: Final answer
    x = 176,938.14

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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.