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Finding the Fourth Proportional to 173,985, 260,977.50 and 42,657

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Solution

The fourth proportional to 173,985, 260,977.50 and 42,657 is: 63,985.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,985 : 260,977.50 = 42,657 : x
  2. Step 2: Convert to fraction form
    173,985/260,977.50 = 42,657/x
  3. Step 3: Cross multiply
    173,985x = 260,977.50 × 42,657
  4. Step 4: Simplify right side
    173,985x = 11,132,517,217.50
  5. Step 5: Solve for x
    x = 11,132,517,217.50/173,985
  6. Step 6: Final answer
    x = 63,985.50

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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.