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Finding the Fourth Proportional to 219,140.74, 328,723.62 and 61,381.50

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Solution

The fourth proportional to 219,140.74, 328,723.62 and 61,381.50 is: 92,075.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,140.74 : 328,723.62 = 61,381.50 : x
  2. Step 2: Convert to fraction form
    219,140.74/328,723.62 = 61,381.50/x
  3. Step 3: Cross multiply
    219,140.74x = 328,723.62 × 61,381.50
  4. Step 4: Simplify right side
    219,140.74x = 20,177,547,418.14
  5. Step 5: Solve for x
    x = 20,177,547,418.14/219,140.74
  6. Step 6: Final answer
    x = 92,075.75

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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.