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Finding the Fourth Proportional to 153,710.64, 212,130.44 and 86,646.96

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Solution

The fourth proportional to 153,710.64, 212,130.44 and 86,646.96 is: 119,578.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,710.64 : 212,130.44 = 86,646.96 : x
  2. Step 2: Convert to fraction form
    153,710.64/212,130.44 = 86,646.96/x
  3. Step 3: Cross multiply
    153,710.64x = 212,130.44 × 86,646.96
  4. Step 4: Simplify right side
    153,710.64x = 18,380,457,749.46
  5. Step 5: Solve for x
    x = 18,380,457,749.46/153,710.64
  6. Step 6: Final answer
    x = 119,578.30

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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.