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Finding the Fourth Proportional to 105,208.52, 157,849.62 and 65,719.40

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Solution

The fourth proportional to 105,208.52, 157,849.62 and 65,719.40 is: 98,602.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,208.52 : 157,849.62 = 65,719.40 : x
  2. Step 2: Convert to fraction form
    105,208.52/157,849.62 = 65,719.40/x
  3. Step 3: Cross multiply
    105,208.52x = 157,849.62 × 65,719.40
  4. Step 4: Simplify right side
    105,208.52x = 10,373,782,316.63
  5. Step 5: Solve for x
    x = 10,373,782,316.63/105,208.52
  6. Step 6: Final answer
    x = 98,602.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.