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Finding the Fourth Proportional to 102,925.70, 154,388.55 and 100,852.10

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Solution

The fourth proportional to 102,925.70, 154,388.55 and 100,852.10 is: 151,278.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,925.70 : 154,388.55 = 100,852.10 : x
  2. Step 2: Convert to fraction form
    102,925.70/154,388.55 = 100,852.10/x
  3. Step 3: Cross multiply
    102,925.70x = 154,388.55 × 100,852.10
  4. Step 4: Simplify right side
    102,925.70x = 15,570,409,483.46
  5. Step 5: Solve for x
    x = 15,570,409,483.46/102,925.70
  6. Step 6: Final answer
    x = 151,278.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.