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Finding the Fourth Proportional to 153,280, 211,524.32 and 86,212.16

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Solution

The fourth proportional to 153,280, 211,524.32 and 86,212.16 is: 118,971.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,280 : 211,524.32 = 86,212.16 : x
  2. Step 2: Convert to fraction form
    153,280/211,524.32 = 86,212.16/x
  3. Step 3: Cross multiply
    153,280x = 211,524.32 × 86,212.16
  4. Step 4: Simplify right side
    153,280x = 18,235,968,519.73
  5. Step 5: Solve for x
    x = 18,235,968,519.73/153,280
  6. Step 6: Final answer
    x = 118,971.61

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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.