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Finding the Fourth Proportional to 161,646, 242,475.70 and 61,813.50

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Solution

The fourth proportional to 161,646, 242,475.70 and 61,813.50 is: 92,722.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,646 : 242,475.70 = 61,813.50 : x
  2. Step 2: Convert to fraction form
    161,646/242,475.70 = 61,813.50/x
  3. Step 3: Cross multiply
    161,646x = 242,475.70 × 61,813.50
  4. Step 4: Simplify right side
    161,646x = 14,988,271,681.95
  5. Step 5: Solve for x
    x = 14,988,271,681.95/161,646
  6. Step 6: Final answer
    x = 92,722.81

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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.