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Finding the Fourth Proportional to 56,320.64, 77,564.64 and 46,803.20

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Solution

The fourth proportional to 56,320.64, 77,564.64 and 46,803.20 is: 64,457.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,320.64 : 77,564.64 = 46,803.20 : x
  2. Step 2: Convert to fraction form
    56,320.64/77,564.64 = 46,803.20/x
  3. Step 3: Cross multiply
    56,320.64x = 77,564.64 × 46,803.20
  4. Step 4: Simplify right side
    56,320.64x = 3,630,273,358.85
  5. Step 5: Solve for x
    x = 3,630,273,358.85/56,320.64
  6. Step 6: Final answer
    x = 64,457.25

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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.