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Finding the Fourth Proportional to 118,100, 162,984.48 and 67,802.24

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Solution

The fourth proportional to 118,100, 162,984.48 and 67,802.24 is: 93,570.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,100 : 162,984.48 = 67,802.24 : x
  2. Step 2: Convert to fraction form
    118,100/162,984.48 = 67,802.24/x
  3. Step 3: Cross multiply
    118,100x = 162,984.48 × 67,802.24
  4. Step 4: Simplify right side
    118,100x = 11,050,712,829.24
  5. Step 5: Solve for x
    x = 11,050,712,829.24/118,100
  6. Step 6: Final answer
    x = 93,570.81

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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.