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Finding the Fourth Proportional to 242,075.52, 363,261.24 and 142,430.40

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Solution

The fourth proportional to 242,075.52, 363,261.24 and 142,430.40 is: 213,732.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,075.52 : 363,261.24 = 142,430.40 : x
  2. Step 2: Convert to fraction form
    242,075.52/363,261.24 = 142,430.40/x
  3. Step 3: Cross multiply
    242,075.52x = 363,261.24 × 142,430.40
  4. Step 4: Simplify right side
    242,075.52x = 51,739,443,717.70
  5. Step 5: Solve for x
    x = 51,739,443,717.70/242,075.52
  6. Step 6: Final answer
    x = 213,732.66

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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.