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Finding the Fourth Proportional to 77,295.16, 115,786.62 and 64,779.88

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Solution

The fourth proportional to 77,295.16, 115,786.62 and 64,779.88 is: 97,038.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,295.16 : 115,786.62 = 64,779.88 : x
  2. Step 2: Convert to fraction form
    77,295.16/115,786.62 = 64,779.88/x
  3. Step 3: Cross multiply
    77,295.16x = 115,786.62 × 64,779.88
  4. Step 4: Simplify right side
    77,295.16x = 7,500,643,349.21
  5. Step 5: Solve for x
    x = 7,500,643,349.21/77,295.16
  6. Step 6: Final answer
    x = 97,038.98

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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.