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Finding the Fourth Proportional to 151,055.95, 208,452.43 and 83,072.71

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Solution

The fourth proportional to 151,055.95, 208,452.43 and 83,072.71 is: 114,637.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,055.95 : 208,452.43 = 83,072.71 : x
  2. Step 2: Convert to fraction form
    151,055.95/208,452.43 = 83,072.71/x
  3. Step 3: Cross multiply
    151,055.95x = 208,452.43 × 83,072.71
  4. Step 4: Simplify right side
    151,055.95x = 17,316,708,266.19
  5. Step 5: Solve for x
    x = 17,316,708,266.19/151,055.95
  6. Step 6: Final answer
    x = 114,637.71

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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.