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Finding the Fourth Proportional to 77,079.08, 106,386.29 and 46,858

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Solution

The fourth proportional to 77,079.08, 106,386.29 and 46,858 is: 64,674.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,079.08 : 106,386.29 = 46,858 : x
  2. Step 2: Convert to fraction form
    77,079.08/106,386.29 = 46,858/x
  3. Step 3: Cross multiply
    77,079.08x = 106,386.29 × 46,858
  4. Step 4: Simplify right side
    77,079.08x = 4,985,048,776.82
  5. Step 5: Solve for x
    x = 4,985,048,776.82/77,079.08
  6. Step 6: Final answer
    x = 64,674.47

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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.