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Finding the Fourth Proportional to 65,951.72, 91,009.05 and 42,075.85

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Solution

The fourth proportional to 65,951.72, 91,009.05 and 42,075.85 is: 58,061.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,951.72 : 91,009.05 = 42,075.85 : x
  2. Step 2: Convert to fraction form
    65,951.72/91,009.05 = 42,075.85/x
  3. Step 3: Cross multiply
    65,951.72x = 91,009.05 × 42,075.85
  4. Step 4: Simplify right side
    65,951.72x = 3,829,282,681.40
  5. Step 5: Solve for x
    x = 3,829,282,681.40/65,951.72
  6. Step 6: Final answer
    x = 58,061.91

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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.