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Finding the Fourth Proportional to 77,978.16, 116,739.36 and 58,075.92

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Solution

The fourth proportional to 77,978.16, 116,739.36 and 58,075.92 is: 86,944.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,978.16 : 116,739.36 = 58,075.92 : x
  2. Step 2: Convert to fraction form
    77,978.16/116,739.36 = 58,075.92/x
  3. Step 3: Cross multiply
    77,978.16x = 116,739.36 × 58,075.92
  4. Step 4: Simplify right side
    77,978.16x = 6,779,745,732.21
  5. Step 5: Solve for x
    x = 6,779,745,732.21/77,978.16
  6. Step 6: Final answer
    x = 86,944.16

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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.