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Finding the Fourth Proportional to 152,413.86, 228,762.64 and 77,590.02

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Solution

The fourth proportional to 152,413.86, 228,762.64 and 77,590.02 is: 116,457.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,413.86 : 228,762.64 = 77,590.02 : x
  2. Step 2: Convert to fraction form
    152,413.86/228,762.64 = 77,590.02/x
  3. Step 3: Cross multiply
    152,413.86x = 228,762.64 × 77,590.02
  4. Step 4: Simplify right side
    152,413.86x = 17,749,697,240.95
  5. Step 5: Solve for x
    x = 17,749,697,240.95/152,413.86
  6. Step 6: Final answer
    x = 116,457.24

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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.