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Finding the Fourth Proportional to 191,980.40, 264,985.64 and 111,433.87

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Solution

The fourth proportional to 191,980.40, 264,985.64 and 111,433.87 is: 153,809.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,980.40 : 264,985.64 = 111,433.87 : x
  2. Step 2: Convert to fraction form
    191,980.40/264,985.64 = 111,433.87/x
  3. Step 3: Cross multiply
    191,980.40x = 264,985.64 × 111,433.87
  4. Step 4: Simplify right side
    191,980.40x = 29,528,374,963.00
  5. Step 5: Solve for x
    x = 29,528,374,963.00/191,980.40
  6. Step 6: Final answer
    x = 153,809.32

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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.