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Finding the Fourth Proportional to 243,421, 365,131.50 and 77,209

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Solution

The fourth proportional to 243,421, 365,131.50 and 77,209 is: 115,813.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,421 : 365,131.50 = 77,209 : x
  2. Step 2: Convert to fraction form
    243,421/365,131.50 = 77,209/x
  3. Step 3: Cross multiply
    243,421x = 365,131.50 × 77,209
  4. Step 4: Simplify right side
    243,421x = 28,191,437,983.50
  5. Step 5: Solve for x
    x = 28,191,437,983.50/243,421
  6. Step 6: Final answer
    x = 115,813.50

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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.