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Finding the Fourth Proportional to 142,507, 213,760.50 and 61,420.78

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Solution

The fourth proportional to 142,507, 213,760.50 and 61,420.78 is: 92,131.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,507 : 213,760.50 = 61,420.78 : x
  2. Step 2: Convert to fraction form
    142,507/213,760.50 = 61,420.78/x
  3. Step 3: Cross multiply
    142,507x = 213,760.50 × 61,420.78
  4. Step 4: Simplify right side
    142,507x = 13,129,336,643.19
  5. Step 5: Solve for x
    x = 13,129,336,643.19/142,507
  6. Step 6: Final answer
    x = 92,131.17

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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.