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Finding the Fourth Proportional to 115,985.86, 160,055.13 and 65,685.22

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Solution

The fourth proportional to 115,985.86, 160,055.13 and 65,685.22 is: 90,642.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,985.86 : 160,055.13 = 65,685.22 : x
  2. Step 2: Convert to fraction form
    115,985.86/160,055.13 = 65,685.22/x
  3. Step 3: Cross multiply
    115,985.86x = 160,055.13 × 65,685.22
  4. Step 4: Simplify right side
    115,985.86x = 10,513,256,426.18
  5. Step 5: Solve for x
    x = 10,513,256,426.18/115,985.86
  6. Step 6: Final answer
    x = 90,642.57

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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.