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Finding the Fourth Proportional to 52,130.88, 78,196.24 and 12,688

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Solution

The fourth proportional to 52,130.88, 78,196.24 and 12,688 is: 19,031.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,130.88 : 78,196.24 = 12,688 : x
  2. Step 2: Convert to fraction form
    52,130.88/78,196.24 = 12,688/x
  3. Step 3: Cross multiply
    52,130.88x = 78,196.24 × 12,688
  4. Step 4: Simplify right side
    52,130.88x = 992,153,893.12
  5. Step 5: Solve for x
    x = 992,153,893.12/52,130.88
  6. Step 6: Final answer
    x = 19,031.98

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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.