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Finding the Fourth Proportional to 85,707.82, 128,302.30 and 77,810.32

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Solution

The fourth proportional to 85,707.82, 128,302.30 and 77,810.32 is: 116,479.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,707.82 : 128,302.30 = 77,810.32 : x
  2. Step 2: Convert to fraction form
    85,707.82/128,302.30 = 77,810.32/x
  3. Step 3: Cross multiply
    85,707.82x = 128,302.30 × 77,810.32
  4. Step 4: Simplify right side
    85,707.82x = 9,983,243,019.74
  5. Step 5: Solve for x
    x = 9,983,243,019.74/85,707.82
  6. Step 6: Final answer
    x = 116,479.96

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1.5x scale

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.