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Finding the Fourth Proportional to 116,032.68, 160,128.36 and 65,731.68

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Solution

The fourth proportional to 116,032.68, 160,128.36 and 65,731.68 is: 90,711.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,032.68 : 160,128.36 = 65,731.68 : x
  2. Step 2: Convert to fraction form
    116,032.68/160,128.36 = 65,731.68/x
  3. Step 3: Cross multiply
    116,032.68x = 160,128.36 × 65,731.68
  4. Step 4: Simplify right side
    116,032.68x = 10,525,506,118.44
  5. Step 5: Solve for x
    x = 10,525,506,118.44/116,032.68
  6. Step 6: Final answer
    x = 90,711.57

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1.5x scale

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.