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Finding the Fourth Proportional to 158,102.76, 218,237.40 and 97,719.72

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Solution

The fourth proportional to 158,102.76, 218,237.40 and 97,719.72 is: 134,887.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,102.76 : 218,237.40 = 97,719.72 : x
  2. Step 2: Convert to fraction form
    158,102.76/218,237.40 = 97,719.72/x
  3. Step 3: Cross multiply
    158,102.76x = 218,237.40 × 97,719.72
  4. Step 4: Simplify right side
    158,102.76x = 21,326,097,621.53
  5. Step 5: Solve for x
    x = 21,326,097,621.53/158,102.76
  6. Step 6: Final answer
    x = 134,887.57

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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.