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Finding the Fourth Proportional to 154,875, 213,762.75 and 91,233.30

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Solution

The fourth proportional to 154,875, 213,762.75 and 91,233.30 is: 125,922.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,875 : 213,762.75 = 91,233.30 : x
  2. Step 2: Convert to fraction form
    154,875/213,762.75 = 91,233.30/x
  3. Step 3: Cross multiply
    154,875x = 213,762.75 × 91,233.30
  4. Step 4: Simplify right side
    154,875x = 19,502,281,099.58
  5. Step 5: Solve for x
    x = 19,502,281,099.58/154,875
  6. Step 6: Final answer
    x = 125,922.72

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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.