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Finding the Fourth Proportional to 52,312.34, 78,467.83 and 12,869.79

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Solution

The fourth proportional to 52,312.34, 78,467.83 and 12,869.79 is: 19,304.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,312.34 : 78,467.83 = 12,869.79 : x
  2. Step 2: Convert to fraction form
    52,312.34/78,467.83 = 12,869.79/x
  3. Step 3: Cross multiply
    52,312.34x = 78,467.83 × 12,869.79
  4. Step 4: Simplify right side
    52,312.34x = 1,009,864,429.51
  5. Step 5: Solve for x
    x = 1,009,864,429.51/52,312.34
  6. Step 6: Final answer
    x = 19,304.52

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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.