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Finding the Fourth Proportional to 287,075.13, 430,704.90 and 87,434.16

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Solution

The fourth proportional to 287,075.13, 430,704.90 and 87,434.16 is: 131,179.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,075.13 : 430,704.90 = 87,434.16 : x
  2. Step 2: Convert to fraction form
    287,075.13/430,704.90 = 87,434.16/x
  3. Step 3: Cross multiply
    287,075.13x = 430,704.90 × 87,434.16
  4. Step 4: Simplify right side
    287,075.13x = 37,658,321,139.38
  5. Step 5: Solve for x
    x = 37,658,321,139.38/287,075.13
  6. Step 6: Final answer
    x = 131,179.32

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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.