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Finding the Fourth Proportional to 70,381.83, 97,133.93 and 40,171.74

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Solution

The fourth proportional to 70,381.83, 97,133.93 and 40,171.74 is: 55,441.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,381.83 : 97,133.93 = 40,171.74 : x
  2. Step 2: Convert to fraction form
    70,381.83/97,133.93 = 40,171.74/x
  3. Step 3: Cross multiply
    70,381.83x = 97,133.93 × 40,171.74
  4. Step 4: Simplify right side
    70,381.83x = 3,902,038,981.14
  5. Step 5: Solve for x
    x = 3,902,038,981.14/70,381.83
  6. Step 6: Final answer
    x = 55,441.00

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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.