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Finding the Fourth Proportional to 107,075.12, 147,759.68 and 61,755

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Solution

The fourth proportional to 107,075.12, 147,759.68 and 61,755 is: 85,219.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,075.12 : 147,759.68 = 61,755 : x
  2. Step 2: Convert to fraction form
    107,075.12/147,759.68 = 61,755/x
  3. Step 3: Cross multiply
    107,075.12x = 147,759.68 × 61,755
  4. Step 4: Simplify right side
    107,075.12x = 9,124,899,038.40
  5. Step 5: Solve for x
    x = 9,124,899,038.40/107,075.12
  6. Step 6: Final answer
    x = 85,219.60

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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.