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Finding the Fourth Proportional to 191,321.60, 286,852.80 and 97,750.40

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Solution

The fourth proportional to 191,321.60, 286,852.80 and 97,750.40 is: 146,559.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,321.60 : 286,852.80 = 97,750.40 : x
  2. Step 2: Convert to fraction form
    191,321.60/286,852.80 = 97,750.40/x
  3. Step 3: Cross multiply
    191,321.60x = 286,852.80 × 97,750.40
  4. Step 4: Simplify right side
    191,321.60x = 28,039,975,941.12
  5. Step 5: Solve for x
    x = 28,039,975,941.12/191,321.60
  6. Step 6: Final answer
    x = 146,559.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.