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Finding the Fourth Proportional to 102,840.70, 154,261.05 and 101,458.30

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Solution

The fourth proportional to 102,840.70, 154,261.05 and 101,458.30 is: 152,187.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,840.70 : 154,261.05 = 101,458.30 : x
  2. Step 2: Convert to fraction form
    102,840.70/154,261.05 = 101,458.30/x
  3. Step 3: Cross multiply
    102,840.70x = 154,261.05 × 101,458.30
  4. Step 4: Simplify right side
    102,840.70x = 15,651,063,889.22
  5. Step 5: Solve for x
    x = 15,651,063,889.22/102,840.70
  6. Step 6: Final answer
    x = 152,187.45

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1.5x scale

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.