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Finding the Fourth Proportional to 152,538, 210,239.54 and 101,459.40

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Solution

The fourth proportional to 152,538, 210,239.54 and 101,459.40 is: 139,839.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,538 : 210,239.54 = 101,459.40 : x
  2. Step 2: Convert to fraction form
    152,538/210,239.54 = 101,459.40/x
  3. Step 3: Cross multiply
    152,538x = 210,239.54 × 101,459.40
  4. Step 4: Simplify right side
    152,538x = 21,330,777,077.38
  5. Step 5: Solve for x
    x = 21,330,777,077.38/152,538
  6. Step 6: Final answer
    x = 139,839.10

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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.