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Finding the Fourth Proportional to 153,548, 211,896.60 and 86,480

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Solution

The fourth proportional to 153,548, 211,896.60 and 86,480 is: 119,342.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,548 : 211,896.60 = 86,480 : x
  2. Step 2: Convert to fraction form
    153,548/211,896.60 = 86,480/x
  3. Step 3: Cross multiply
    153,548x = 211,896.60 × 86,480
  4. Step 4: Simplify right side
    153,548x = 18,324,817,968
  5. Step 5: Solve for x
    x = 18,324,817,968/153,548
  6. Step 6: Final answer
    x = 119,342.60

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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.