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Finding the Fourth Proportional to 115,314, 159,133.48 and 64,330.02

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Solution

The fourth proportional to 115,314, 159,133.48 and 64,330.02 is: 88,775.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,314 : 159,133.48 = 64,330.02 : x
  2. Step 2: Convert to fraction form
    115,314/159,133.48 = 64,330.02/x
  3. Step 3: Cross multiply
    115,314x = 159,133.48 × 64,330.02
  4. Step 4: Simplify right side
    115,314x = 10,237,059,951.07
  5. Step 5: Solve for x
    x = 10,237,059,951.07/115,314
  6. Step 6: Final answer
    x = 88,775.52

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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.