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Finding the Fourth Proportional to 152,642.60, 210,659.37 and 84,681.45

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Solution

The fourth proportional to 152,642.60, 210,659.37 and 84,681.45 is: 116,867.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,642.60 : 210,659.37 = 84,681.45 : x
  2. Step 2: Convert to fraction form
    152,642.60/210,659.37 = 84,681.45/x
  3. Step 3: Cross multiply
    152,642.60x = 210,659.37 × 84,681.45
  4. Step 4: Simplify right side
    152,642.60x = 17,838,939,430.98
  5. Step 5: Solve for x
    x = 17,838,939,430.98/152,642.60
  6. Step 6: Final answer
    x = 116,867.38

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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.