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Finding the Fourth Proportional to 212,054.40, 317,848.32 and 87,327.36

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Solution

The fourth proportional to 212,054.40, 317,848.32 and 87,327.36 is: 130,894.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,054.40 : 317,848.32 = 87,327.36 : x
  2. Step 2: Convert to fraction form
    212,054.40/317,848.32 = 87,327.36/x
  3. Step 3: Cross multiply
    212,054.40x = 317,848.32 × 87,327.36
  4. Step 4: Simplify right side
    212,054.40x = 27,756,854,666.04
  5. Step 5: Solve for x
    x = 27,756,854,666.04/212,054.40
  6. Step 6: Final answer
    x = 130,894.97

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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.