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Finding the Fourth Proportional to 86,346, 119,157.48 and 50,534.28

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Solution

The fourth proportional to 86,346, 119,157.48 and 50,534.28 is: 69,737.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,346 : 119,157.48 = 50,534.28 : x
  2. Step 2: Convert to fraction form
    86,346/119,157.48 = 50,534.28/x
  3. Step 3: Cross multiply
    86,346x = 119,157.48 × 50,534.28
  4. Step 4: Simplify right side
    86,346x = 6,021,537,458.41
  5. Step 5: Solve for x
    x = 6,021,537,458.41/86,346
  6. Step 6: Final answer
    x = 69,737.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.