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Finding the Fourth Proportional to 115,316, 159,136.24 and 64,332.02

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Solution

The fourth proportional to 115,316, 159,136.24 and 64,332.02 is: 88,778.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,316 : 159,136.24 = 64,332.02 : x
  2. Step 2: Convert to fraction form
    115,316/159,136.24 = 64,332.02/x
  3. Step 3: Cross multiply
    115,316x = 159,136.24 × 64,332.02
  4. Step 4: Simplify right side
    115,316x = 10,237,555,774.40
  5. Step 5: Solve for x
    x = 10,237,555,774.40/115,316
  6. Step 6: Final answer
    x = 88,778.28

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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.