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Finding the Fourth Proportional to 105,129.98, 157,636.63 and 34,971.02

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Solution

The fourth proportional to 105,129.98, 157,636.63 and 34,971.02 is: 52,437.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,129.98 : 157,636.63 = 34,971.02 : x
  2. Step 2: Convert to fraction form
    105,129.98/157,636.63 = 34,971.02/x
  3. Step 3: Cross multiply
    105,129.98x = 157,636.63 × 34,971.02
  4. Step 4: Simplify right side
    105,129.98x = 5,512,713,740.46
  5. Step 5: Solve for x
    x = 5,512,713,740.46/105,129.98
  6. Step 6: Final answer
    x = 52,437.12

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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.