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Finding the Fourth Proportional to 157,058.82, 216,743.76 and 85,438.89

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Solution

The fourth proportional to 157,058.82, 216,743.76 and 85,438.89 is: 117,907.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,058.82 : 216,743.76 = 85,438.89 : x
  2. Step 2: Convert to fraction form
    157,058.82/216,743.76 = 85,438.89/x
  3. Step 3: Cross multiply
    157,058.82x = 216,743.76 × 85,438.89
  4. Step 4: Simplify right side
    157,058.82x = 18,518,346,268.83
  5. Step 5: Solve for x
    x = 18,518,346,268.83/157,058.82
  6. Step 6: Final answer
    x = 117,907.08

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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.