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Finding the Fourth Proportional to 212,698.71, 318,747.15 and 117,970.56

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Solution

The fourth proportional to 212,698.71, 318,747.15 and 117,970.56 is: 176,788.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,698.71 : 318,747.15 = 117,970.56 : x
  2. Step 2: Convert to fraction form
    212,698.71/318,747.15 = 117,970.56/x
  3. Step 3: Cross multiply
    212,698.71x = 318,747.15 × 117,970.56
  4. Step 4: Simplify right side
    212,698.71x = 37,602,779,783.90
  5. Step 5: Solve for x
    x = 37,602,779,783.90/212,698.71
  6. Step 6: Final answer
    x = 176,788.94

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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.