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Finding the Fourth Proportional to 255,056.74, 351,985.86 and 140,347.24

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Solution

The fourth proportional to 255,056.74, 351,985.86 and 140,347.24 is: 193,683.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,056.74 : 351,985.86 = 140,347.24 : x
  2. Step 2: Convert to fraction form
    255,056.74/351,985.86 = 140,347.24/x
  3. Step 3: Cross multiply
    255,056.74x = 351,985.86 × 140,347.24
  4. Step 4: Simplify right side
    255,056.74x = 49,400,243,970.03
  5. Step 5: Solve for x
    x = 49,400,243,970.03/255,056.74
  6. Step 6: Final answer
    x = 193,683.35

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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.