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Finding the Fourth Proportional to 52,346, 78,536.28 and 21,164.24

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Solution

The fourth proportional to 52,346, 78,536.28 and 21,164.24 is: 31,753.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,346 : 78,536.28 = 21,164.24 : x
  2. Step 2: Convert to fraction form
    52,346/78,536.28 = 21,164.24/x
  3. Step 3: Cross multiply
    52,346x = 78,536.28 × 21,164.24
  4. Step 4: Simplify right side
    52,346x = 1,662,160,678.63
  5. Step 5: Solve for x
    x = 1,662,160,678.63/52,346
  6. Step 6: Final answer
    x = 31,753.35

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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.