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Finding the Fourth Proportional to 212,430.50, 318,645.75 and 64,686.50

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Solution

The fourth proportional to 212,430.50, 318,645.75 and 64,686.50 is: 97,029.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,430.50 : 318,645.75 = 64,686.50 : x
  2. Step 2: Convert to fraction form
    212,430.50/318,645.75 = 64,686.50/x
  3. Step 3: Cross multiply
    212,430.50x = 318,645.75 × 64,686.50
  4. Step 4: Simplify right side
    212,430.50x = 20,612,078,307.38
  5. Step 5: Solve for x
    x = 20,612,078,307.38/212,430.50
  6. Step 6: Final answer
    x = 97,029.75

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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.