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Finding the Fourth Proportional to 128,001.78, 191,894.21 and 53,075.16

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Solution

The fourth proportional to 128,001.78, 191,894.21 and 53,075.16 is: 79,567.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,001.78 : 191,894.21 = 53,075.16 : x
  2. Step 2: Convert to fraction form
    128,001.78/191,894.21 = 53,075.16/x
  3. Step 3: Cross multiply
    128,001.78x = 191,894.21 × 53,075.16
  4. Step 4: Simplify right side
    128,001.78x = 10,184,815,633.45
  5. Step 5: Solve for x
    x = 10,184,815,633.45/128,001.78
  6. Step 6: Final answer
    x = 79,567.77

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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.