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Finding the Fourth Proportional to 187,853, 259,237.20 and 102,970.64

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Solution

The fourth proportional to 187,853, 259,237.20 and 102,970.64 is: 142,099.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,853 : 259,237.20 = 102,970.64 : x
  2. Step 2: Convert to fraction form
    187,853/259,237.20 = 102,970.64/x
  3. Step 3: Cross multiply
    187,853x = 259,237.20 × 102,970.64
  4. Step 4: Simplify right side
    187,853x = 26,693,820,395.81
  5. Step 5: Solve for x
    x = 26,693,820,395.81/187,853
  6. Step 6: Final answer
    x = 142,099.52

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1.5x scale

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.