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Finding the Fourth Proportional to 86,656.08, 119,510.52 and 56,430

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Solution

The fourth proportional to 86,656.08, 119,510.52 and 56,430 is: 77,824.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,656.08 : 119,510.52 = 56,430 : x
  2. Step 2: Convert to fraction form
    86,656.08/119,510.52 = 56,430/x
  3. Step 3: Cross multiply
    86,656.08x = 119,510.52 × 56,430
  4. Step 4: Simplify right side
    86,656.08x = 6,743,978,643.60
  5. Step 5: Solve for x
    x = 6,743,978,643.60/86,656.08
  6. Step 6: Final answer
    x = 77,824.64

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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.