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Finding the Fourth Proportional to 98,656.86, 148,040.80 and 53,681.47

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Solution

The fourth proportional to 98,656.86, 148,040.80 and 53,681.47 is: 80,552.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,656.86 : 148,040.80 = 53,681.47 : x
  2. Step 2: Convert to fraction form
    98,656.86/148,040.80 = 53,681.47/x
  3. Step 3: Cross multiply
    98,656.86x = 148,040.80 × 53,681.47
  4. Step 4: Simplify right side
    98,656.86x = 7,947,047,259.67
  5. Step 5: Solve for x
    x = 7,947,047,259.67/98,656.86
  6. Step 6: Final answer
    x = 80,552.40

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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.