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Finding the Fourth Proportional to 65,703.15, 90,683.55 and 42,700.77

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Solution

The fourth proportional to 65,703.15, 90,683.55 and 42,700.77 is: 58,935.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,703.15 : 90,683.55 = 42,700.77 : x
  2. Step 2: Convert to fraction form
    65,703.15/90,683.55 = 42,700.77/x
  3. Step 3: Cross multiply
    65,703.15x = 90,683.55 × 42,700.77
  4. Step 4: Simplify right side
    65,703.15x = 3,872,257,411.33
  5. Step 5: Solve for x
    x = 3,872,257,411.33/65,703.15
  6. Step 6: Final answer
    x = 58,935.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.