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Finding the Fourth Proportional to 151,020, 208,408.32 and 83,952

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Solution

The fourth proportional to 151,020, 208,408.32 and 83,952 is: 115,854.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,020 : 208,408.32 = 83,952 : x
  2. Step 2: Convert to fraction form
    151,020/208,408.32 = 83,952/x
  3. Step 3: Cross multiply
    151,020x = 208,408.32 × 83,952
  4. Step 4: Simplify right side
    151,020x = 17,496,295,280.64
  5. Step 5: Solve for x
    x = 17,496,295,280.64/151,020
  6. Step 6: Final answer
    x = 115,854.16

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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.