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Finding the Fourth Proportional to 127,812.15, 191,506.32 and 77,740.77

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Solution

The fourth proportional to 127,812.15, 191,506.32 and 77,740.77 is: 116,482.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,812.15 : 191,506.32 = 77,740.77 : x
  2. Step 2: Convert to fraction form
    127,812.15/191,506.32 = 77,740.77/x
  3. Step 3: Cross multiply
    127,812.15x = 191,506.32 × 77,740.77
  4. Step 4: Simplify right side
    127,812.15x = 14,887,848,776.67
  5. Step 5: Solve for x
    x = 14,887,848,776.67/127,812.15
  6. Step 6: Final answer
    x = 116,482.27

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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.