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Finding the Fourth Proportional to 101,686.51, 140,335.79 and 56,378.71

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Solution

The fourth proportional to 101,686.51, 140,335.79 and 56,378.71 is: 77,807.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,686.51 : 140,335.79 = 56,378.71 : x
  2. Step 2: Convert to fraction form
    101,686.51/140,335.79 = 56,378.71/x
  3. Step 3: Cross multiply
    101,686.51x = 140,335.79 × 56,378.71
  4. Step 4: Simplify right side
    101,686.51x = 7,911,950,807.03
  5. Step 5: Solve for x
    x = 7,911,950,807.03/101,686.51
  6. Step 6: Final answer
    x = 77,807.28

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1.5x scale

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.