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Finding the Fourth Proportional to 102,040.60, 153,133.80 and 42,918.70

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Solution

The fourth proportional to 102,040.60, 153,133.80 and 42,918.70 is: 64,408.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,040.60 : 153,133.80 = 42,918.70 : x
  2. Step 2: Convert to fraction form
    102,040.60/153,133.80 = 42,918.70/x
  3. Step 3: Cross multiply
    102,040.60x = 153,133.80 × 42,918.70
  4. Step 4: Simplify right side
    102,040.60x = 6,572,303,622.06
  5. Step 5: Solve for x
    x = 6,572,303,622.06/102,040.60
  6. Step 6: Final answer
    x = 64,408.71

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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.