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Finding the Fourth Proportional to 137,567.88, 189,851.58 and 77,157.90

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Solution

The fourth proportional to 137,567.88, 189,851.58 and 77,157.90 is: 106,482.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,567.88 : 189,851.58 = 77,157.90 : x
  2. Step 2: Convert to fraction form
    137,567.88/189,851.58 = 77,157.90/x
  3. Step 3: Cross multiply
    137,567.88x = 189,851.58 × 77,157.90
  4. Step 4: Simplify right side
    137,567.88x = 14,648,549,224.48
  5. Step 5: Solve for x
    x = 14,648,549,224.48/137,567.88
  6. Step 6: Final answer
    x = 106,482.34

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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.